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Finding the Third Proportional to 897,251.91 and 1,379,141.16

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Solution

The third proportional to 897,251.91 and 1,379,141.16 is: 2,119,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,251.91 : 1,379,141.16 = 1,379,141.16 : x
  2. Step 2: Convert to fraction form
    897,251.91/1,379,141.16 = 1,379,141.16/x
  3. Step 3: Cross multiply
    897,251.91x = 1,379,141.16 × 1,379,141.16
  4. Step 4: Simplify right side
    897,251.91x = 1,902,030,328,862.59
  5. Step 5: Solve for x
    x = 1,902,030,328,862.59/897,251.91
  6. Step 6: Final answer
    x = 2,119,839.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.